perplexus.info :: Just Math : 5 Digit Number III

5 Digit Number III (Posted on 2014-04-22)

Determine all possible values of a 5-digit positive integer N, such that:

The first two digits of N, read as a two digit number, are three times the third digit, and:
The last two digits of N (read as a two digit number) are twice the third digit, and:
The sum of all the digits of N is 27.

Prove that there are no others.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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